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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.geometry.euclidean.threed;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import java.util.ArrayList;<a name="line.19"></a>
<FONT color="green">020</FONT>    <a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.geometry.euclidean.twod.Euclidean2D;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.geometry.euclidean.twod.Vector2D;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.geometry.partitioning.BSPTree;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.geometry.partitioning.BSPTreeVisitor;<a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math3.geometry.partitioning.BoundaryAttribute;<a name="line.27"></a>
<FONT color="green">028</FONT>    import org.apache.commons.math3.geometry.partitioning.RegionFactory;<a name="line.28"></a>
<FONT color="green">029</FONT>    import org.apache.commons.math3.geometry.partitioning.SubHyperplane;<a name="line.29"></a>
<FONT color="green">030</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.30"></a>
<FONT color="green">031</FONT>    <a name="line.31"></a>
<FONT color="green">032</FONT>    /** Extractor for {@link PolygonsSet polyhedrons sets} outlines.<a name="line.32"></a>
<FONT color="green">033</FONT>     * &lt;p&gt;This class extracts the 2D outlines from {{@link PolygonsSet<a name="line.33"></a>
<FONT color="green">034</FONT>     * polyhedrons sets} in a specified projection plane.&lt;/p&gt;<a name="line.34"></a>
<FONT color="green">035</FONT>     * @version $Id: OutlineExtractor.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.35"></a>
<FONT color="green">036</FONT>     * @since 3.0<a name="line.36"></a>
<FONT color="green">037</FONT>     */<a name="line.37"></a>
<FONT color="green">038</FONT>    public class OutlineExtractor {<a name="line.38"></a>
<FONT color="green">039</FONT>    <a name="line.39"></a>
<FONT color="green">040</FONT>        /** Abscissa axis of the projection plane. */<a name="line.40"></a>
<FONT color="green">041</FONT>        private Vector3D u;<a name="line.41"></a>
<FONT color="green">042</FONT>    <a name="line.42"></a>
<FONT color="green">043</FONT>        /** Ordinate axis of the projection plane. */<a name="line.43"></a>
<FONT color="green">044</FONT>        private Vector3D v;<a name="line.44"></a>
<FONT color="green">045</FONT>    <a name="line.45"></a>
<FONT color="green">046</FONT>        /** Normal of the projection plane (viewing direction). */<a name="line.46"></a>
<FONT color="green">047</FONT>        private Vector3D w;<a name="line.47"></a>
<FONT color="green">048</FONT>    <a name="line.48"></a>
<FONT color="green">049</FONT>        /** Build an extractor for a specific projection plane.<a name="line.49"></a>
<FONT color="green">050</FONT>         * @param u abscissa axis of the projection point<a name="line.50"></a>
<FONT color="green">051</FONT>         * @param v ordinate axis of the projection point<a name="line.51"></a>
<FONT color="green">052</FONT>         */<a name="line.52"></a>
<FONT color="green">053</FONT>        public OutlineExtractor(final Vector3D u, final Vector3D v) {<a name="line.53"></a>
<FONT color="green">054</FONT>            this.u = u;<a name="line.54"></a>
<FONT color="green">055</FONT>            this.v = v;<a name="line.55"></a>
<FONT color="green">056</FONT>            w = Vector3D.crossProduct(u, v);<a name="line.56"></a>
<FONT color="green">057</FONT>        }<a name="line.57"></a>
<FONT color="green">058</FONT>    <a name="line.58"></a>
<FONT color="green">059</FONT>        /** Extract the outline of a polyhedrons set.<a name="line.59"></a>
<FONT color="green">060</FONT>         * @param polyhedronsSet polyhedrons set whose outline must be extracted<a name="line.60"></a>
<FONT color="green">061</FONT>         * @return an outline, as an array of loops.<a name="line.61"></a>
<FONT color="green">062</FONT>         */<a name="line.62"></a>
<FONT color="green">063</FONT>        public Vector2D[][] getOutline(final PolyhedronsSet polyhedronsSet) {<a name="line.63"></a>
<FONT color="green">064</FONT>    <a name="line.64"></a>
<FONT color="green">065</FONT>            // project all boundary facets into one polygons set<a name="line.65"></a>
<FONT color="green">066</FONT>            final BoundaryProjector projector = new BoundaryProjector();<a name="line.66"></a>
<FONT color="green">067</FONT>            polyhedronsSet.getTree(true).visit(projector);<a name="line.67"></a>
<FONT color="green">068</FONT>            final PolygonsSet projected = projector.getProjected();<a name="line.68"></a>
<FONT color="green">069</FONT>    <a name="line.69"></a>
<FONT color="green">070</FONT>            // Remove the spurious intermediate vertices from the outline<a name="line.70"></a>
<FONT color="green">071</FONT>            final Vector2D[][] outline = projected.getVertices();<a name="line.71"></a>
<FONT color="green">072</FONT>            for (int i = 0; i &lt; outline.length; ++i) {<a name="line.72"></a>
<FONT color="green">073</FONT>                final Vector2D[] rawLoop = outline[i];<a name="line.73"></a>
<FONT color="green">074</FONT>                int end = rawLoop.length;<a name="line.74"></a>
<FONT color="green">075</FONT>                int j = 0;<a name="line.75"></a>
<FONT color="green">076</FONT>                while (j &lt; end) {<a name="line.76"></a>
<FONT color="green">077</FONT>                    if (pointIsBetween(rawLoop, end, j)) {<a name="line.77"></a>
<FONT color="green">078</FONT>                        // the point should be removed<a name="line.78"></a>
<FONT color="green">079</FONT>                        for (int k = j; k &lt; (end - 1); ++k) {<a name="line.79"></a>
<FONT color="green">080</FONT>                            rawLoop[k] = rawLoop[k + 1];<a name="line.80"></a>
<FONT color="green">081</FONT>                        }<a name="line.81"></a>
<FONT color="green">082</FONT>                        --end;<a name="line.82"></a>
<FONT color="green">083</FONT>                    } else {<a name="line.83"></a>
<FONT color="green">084</FONT>                        // the point remains in the loop<a name="line.84"></a>
<FONT color="green">085</FONT>                        ++j;<a name="line.85"></a>
<FONT color="green">086</FONT>                    }<a name="line.86"></a>
<FONT color="green">087</FONT>                }<a name="line.87"></a>
<FONT color="green">088</FONT>                if (end != rawLoop.length) {<a name="line.88"></a>
<FONT color="green">089</FONT>                    // resize the array<a name="line.89"></a>
<FONT color="green">090</FONT>                    outline[i] = new Vector2D[end];<a name="line.90"></a>
<FONT color="green">091</FONT>                    System.arraycopy(rawLoop, 0, outline[i], 0, end);<a name="line.91"></a>
<FONT color="green">092</FONT>                }<a name="line.92"></a>
<FONT color="green">093</FONT>            }<a name="line.93"></a>
<FONT color="green">094</FONT>    <a name="line.94"></a>
<FONT color="green">095</FONT>            return outline;<a name="line.95"></a>
<FONT color="green">096</FONT>    <a name="line.96"></a>
<FONT color="green">097</FONT>        }<a name="line.97"></a>
<FONT color="green">098</FONT>    <a name="line.98"></a>
<FONT color="green">099</FONT>        /** Check if a point is geometrically between its neighbour in an array.<a name="line.99"></a>
<FONT color="green">100</FONT>         * &lt;p&gt;The neighbours are computed considering the array is a loop<a name="line.100"></a>
<FONT color="green">101</FONT>         * (i.e. point at index (n-1) is before point at index 0)&lt;/p&gt;<a name="line.101"></a>
<FONT color="green">102</FONT>         * @param loop points array<a name="line.102"></a>
<FONT color="green">103</FONT>         * @param n number of points to consider in the array<a name="line.103"></a>
<FONT color="green">104</FONT>         * @param i index of the point to check (must be between 0 and n-1)<a name="line.104"></a>
<FONT color="green">105</FONT>         * @return true if the point is exactly between its neighbours<a name="line.105"></a>
<FONT color="green">106</FONT>         */<a name="line.106"></a>
<FONT color="green">107</FONT>        private boolean pointIsBetween(final Vector2D[] loop, final int n, final int i) {<a name="line.107"></a>
<FONT color="green">108</FONT>            final Vector2D previous = loop[(i + n - 1) % n];<a name="line.108"></a>
<FONT color="green">109</FONT>            final Vector2D current  = loop[i];<a name="line.109"></a>
<FONT color="green">110</FONT>            final Vector2D next     = loop[(i + 1) % n];<a name="line.110"></a>
<FONT color="green">111</FONT>            final double dx1       = current.getX() - previous.getX();<a name="line.111"></a>
<FONT color="green">112</FONT>            final double dy1       = current.getY() - previous.getY();<a name="line.112"></a>
<FONT color="green">113</FONT>            final double dx2       = next.getX()    - current.getX();<a name="line.113"></a>
<FONT color="green">114</FONT>            final double dy2       = next.getY()    - current.getY();<a name="line.114"></a>
<FONT color="green">115</FONT>            final double cross     = dx1 * dy2 - dx2 * dy1;<a name="line.115"></a>
<FONT color="green">116</FONT>            final double dot       = dx1 * dx2 + dy1 * dy2;<a name="line.116"></a>
<FONT color="green">117</FONT>            final double d1d2      = FastMath.sqrt((dx1 * dx1 + dy1 * dy1) * (dx2 * dx2 + dy2 * dy2));<a name="line.117"></a>
<FONT color="green">118</FONT>            return (FastMath.abs(cross) &lt;= (1.0e-6 * d1d2)) &amp;&amp; (dot &gt;= 0.0);<a name="line.118"></a>
<FONT color="green">119</FONT>        }<a name="line.119"></a>
<FONT color="green">120</FONT>    <a name="line.120"></a>
<FONT color="green">121</FONT>        /** Visitor projecting the boundary facets on a plane. */<a name="line.121"></a>
<FONT color="green">122</FONT>        private class BoundaryProjector implements BSPTreeVisitor&lt;Euclidean3D&gt; {<a name="line.122"></a>
<FONT color="green">123</FONT>    <a name="line.123"></a>
<FONT color="green">124</FONT>            /** Projection of the polyhedrons set on the plane. */<a name="line.124"></a>
<FONT color="green">125</FONT>            private PolygonsSet projected;<a name="line.125"></a>
<FONT color="green">126</FONT>    <a name="line.126"></a>
<FONT color="green">127</FONT>            /** Simple constructor.<a name="line.127"></a>
<FONT color="green">128</FONT>             */<a name="line.128"></a>
<FONT color="green">129</FONT>            public BoundaryProjector() {<a name="line.129"></a>
<FONT color="green">130</FONT>                projected = new PolygonsSet(new BSPTree&lt;Euclidean2D&gt;(Boolean.FALSE));<a name="line.130"></a>
<FONT color="green">131</FONT>            }<a name="line.131"></a>
<FONT color="green">132</FONT>    <a name="line.132"></a>
<FONT color="green">133</FONT>            /** {@inheritDoc} */<a name="line.133"></a>
<FONT color="green">134</FONT>            public Order visitOrder(final BSPTree&lt;Euclidean3D&gt; node) {<a name="line.134"></a>
<FONT color="green">135</FONT>                return Order.MINUS_SUB_PLUS;<a name="line.135"></a>
<FONT color="green">136</FONT>            }<a name="line.136"></a>
<FONT color="green">137</FONT>    <a name="line.137"></a>
<FONT color="green">138</FONT>            /** {@inheritDoc} */<a name="line.138"></a>
<FONT color="green">139</FONT>            public void visitInternalNode(final BSPTree&lt;Euclidean3D&gt; node) {<a name="line.139"></a>
<FONT color="green">140</FONT>                @SuppressWarnings("unchecked")<a name="line.140"></a>
<FONT color="green">141</FONT>                final BoundaryAttribute&lt;Euclidean3D&gt; attribute =<a name="line.141"></a>
<FONT color="green">142</FONT>                    (BoundaryAttribute&lt;Euclidean3D&gt;) node.getAttribute();<a name="line.142"></a>
<FONT color="green">143</FONT>                if (attribute.getPlusOutside() != null) {<a name="line.143"></a>
<FONT color="green">144</FONT>                    addContribution(attribute.getPlusOutside(), false);<a name="line.144"></a>
<FONT color="green">145</FONT>                }<a name="line.145"></a>
<FONT color="green">146</FONT>                if (attribute.getPlusInside() != null) {<a name="line.146"></a>
<FONT color="green">147</FONT>                    addContribution(attribute.getPlusInside(), true);<a name="line.147"></a>
<FONT color="green">148</FONT>                }<a name="line.148"></a>
<FONT color="green">149</FONT>            }<a name="line.149"></a>
<FONT color="green">150</FONT>    <a name="line.150"></a>
<FONT color="green">151</FONT>            /** {@inheritDoc} */<a name="line.151"></a>
<FONT color="green">152</FONT>            public void visitLeafNode(final BSPTree&lt;Euclidean3D&gt; node) {<a name="line.152"></a>
<FONT color="green">153</FONT>            }<a name="line.153"></a>
<FONT color="green">154</FONT>    <a name="line.154"></a>
<FONT color="green">155</FONT>            /** Add he contribution of a boundary facet.<a name="line.155"></a>
<FONT color="green">156</FONT>             * @param facet boundary facet<a name="line.156"></a>
<FONT color="green">157</FONT>             * @param reversed if true, the facet has the inside on its plus side<a name="line.157"></a>
<FONT color="green">158</FONT>             */<a name="line.158"></a>
<FONT color="green">159</FONT>            private void addContribution(final SubHyperplane&lt;Euclidean3D&gt; facet, final boolean reversed) {<a name="line.159"></a>
<FONT color="green">160</FONT>    <a name="line.160"></a>
<FONT color="green">161</FONT>                // extract the vertices of the facet<a name="line.161"></a>
<FONT color="green">162</FONT>                @SuppressWarnings("unchecked")<a name="line.162"></a>
<FONT color="green">163</FONT>                final AbstractSubHyperplane&lt;Euclidean3D, Euclidean2D&gt; absFacet =<a name="line.163"></a>
<FONT color="green">164</FONT>                    (AbstractSubHyperplane&lt;Euclidean3D, Euclidean2D&gt;) facet;<a name="line.164"></a>
<FONT color="green">165</FONT>                final Plane plane    = (Plane) facet.getHyperplane();<a name="line.165"></a>
<FONT color="green">166</FONT>    <a name="line.166"></a>
<FONT color="green">167</FONT>                final double scal = plane.getNormal().dotProduct(w);<a name="line.167"></a>
<FONT color="green">168</FONT>                if (FastMath.abs(scal) &gt; 1.0e-3) {<a name="line.168"></a>
<FONT color="green">169</FONT>                    Vector2D[][] vertices =<a name="line.169"></a>
<FONT color="green">170</FONT>                        ((PolygonsSet) absFacet.getRemainingRegion()).getVertices();<a name="line.170"></a>
<FONT color="green">171</FONT>    <a name="line.171"></a>
<FONT color="green">172</FONT>                    if ((scal &lt; 0) ^ reversed) {<a name="line.172"></a>
<FONT color="green">173</FONT>                        // the facet is seen from the inside,<a name="line.173"></a>
<FONT color="green">174</FONT>                        // we need to invert its boundary orientation<a name="line.174"></a>
<FONT color="green">175</FONT>                        final Vector2D[][] newVertices = new Vector2D[vertices.length][];<a name="line.175"></a>
<FONT color="green">176</FONT>                        for (int i = 0; i &lt; vertices.length; ++i) {<a name="line.176"></a>
<FONT color="green">177</FONT>                            final Vector2D[] loop = vertices[i];<a name="line.177"></a>
<FONT color="green">178</FONT>                            final Vector2D[] newLoop = new Vector2D[loop.length];<a name="line.178"></a>
<FONT color="green">179</FONT>                            if (loop[0] == null) {<a name="line.179"></a>
<FONT color="green">180</FONT>                                newLoop[0] = null;<a name="line.180"></a>
<FONT color="green">181</FONT>                                for (int j = 1; j &lt; loop.length; ++j) {<a name="line.181"></a>
<FONT color="green">182</FONT>                                    newLoop[j] = loop[loop.length - j];<a name="line.182"></a>
<FONT color="green">183</FONT>                                }<a name="line.183"></a>
<FONT color="green">184</FONT>                            } else {<a name="line.184"></a>
<FONT color="green">185</FONT>                                for (int j = 0; j &lt; loop.length; ++j) {<a name="line.185"></a>
<FONT color="green">186</FONT>                                    newLoop[j] = loop[loop.length - (j + 1)];<a name="line.186"></a>
<FONT color="green">187</FONT>                                }<a name="line.187"></a>
<FONT color="green">188</FONT>                            }<a name="line.188"></a>
<FONT color="green">189</FONT>                            newVertices[i] = newLoop;<a name="line.189"></a>
<FONT color="green">190</FONT>                        }<a name="line.190"></a>
<FONT color="green">191</FONT>    <a name="line.191"></a>
<FONT color="green">192</FONT>                        // use the reverted vertices<a name="line.192"></a>
<FONT color="green">193</FONT>                        vertices = newVertices;<a name="line.193"></a>
<FONT color="green">194</FONT>    <a name="line.194"></a>
<FONT color="green">195</FONT>                    }<a name="line.195"></a>
<FONT color="green">196</FONT>    <a name="line.196"></a>
<FONT color="green">197</FONT>                    // compute the projection of the facet in the outline plane<a name="line.197"></a>
<FONT color="green">198</FONT>                    final ArrayList&lt;SubHyperplane&lt;Euclidean2D&gt;&gt; edges = new ArrayList&lt;SubHyperplane&lt;Euclidean2D&gt;&gt;();<a name="line.198"></a>
<FONT color="green">199</FONT>                    for (Vector2D[] loop : vertices) {<a name="line.199"></a>
<FONT color="green">200</FONT>                        final boolean closed = loop[0] != null;<a name="line.200"></a>
<FONT color="green">201</FONT>                        int previous         = closed ? (loop.length - 1) : 1;<a name="line.201"></a>
<FONT color="green">202</FONT>                        Vector3D previous3D  = plane.toSpace(loop[previous]);<a name="line.202"></a>
<FONT color="green">203</FONT>                        int current          = (previous + 1) % loop.length;<a name="line.203"></a>
<FONT color="green">204</FONT>                        Vector2D pPoint       = new Vector2D(previous3D.dotProduct(u),<a name="line.204"></a>
<FONT color="green">205</FONT>                                                             previous3D.dotProduct(v));<a name="line.205"></a>
<FONT color="green">206</FONT>                        while (current &lt; loop.length) {<a name="line.206"></a>
<FONT color="green">207</FONT>    <a name="line.207"></a>
<FONT color="green">208</FONT>                            final Vector3D current3D = plane.toSpace(loop[current]);<a name="line.208"></a>
<FONT color="green">209</FONT>                            final Vector2D  cPoint    = new Vector2D(current3D.dotProduct(u),<a name="line.209"></a>
<FONT color="green">210</FONT>                                                                     current3D.dotProduct(v));<a name="line.210"></a>
<FONT color="green">211</FONT>                            final org.apache.commons.math3.geometry.euclidean.twod.Line line =<a name="line.211"></a>
<FONT color="green">212</FONT>                                new org.apache.commons.math3.geometry.euclidean.twod.Line(pPoint, cPoint);<a name="line.212"></a>
<FONT color="green">213</FONT>                            SubHyperplane&lt;Euclidean2D&gt; edge = line.wholeHyperplane();<a name="line.213"></a>
<FONT color="green">214</FONT>    <a name="line.214"></a>
<FONT color="green">215</FONT>                            if (closed || (previous != 1)) {<a name="line.215"></a>
<FONT color="green">216</FONT>                                // the previous point is a real vertex<a name="line.216"></a>
<FONT color="green">217</FONT>                                // it defines one bounding point of the edge<a name="line.217"></a>
<FONT color="green">218</FONT>                                final double angle = line.getAngle() + 0.5 * FastMath.PI;<a name="line.218"></a>
<FONT color="green">219</FONT>                                final org.apache.commons.math3.geometry.euclidean.twod.Line l =<a name="line.219"></a>
<FONT color="green">220</FONT>                                    new org.apache.commons.math3.geometry.euclidean.twod.Line(pPoint, angle);<a name="line.220"></a>
<FONT color="green">221</FONT>                                edge = edge.split(l).getPlus();<a name="line.221"></a>
<FONT color="green">222</FONT>                            }<a name="line.222"></a>
<FONT color="green">223</FONT>    <a name="line.223"></a>
<FONT color="green">224</FONT>                            if (closed || (current != (loop.length - 1))) {<a name="line.224"></a>
<FONT color="green">225</FONT>                                // the current point is a real vertex<a name="line.225"></a>
<FONT color="green">226</FONT>                                // it defines one bounding point of the edge<a name="line.226"></a>
<FONT color="green">227</FONT>                                final double angle = line.getAngle() + 0.5 * FastMath.PI;<a name="line.227"></a>
<FONT color="green">228</FONT>                                final org.apache.commons.math3.geometry.euclidean.twod.Line l =<a name="line.228"></a>
<FONT color="green">229</FONT>                                    new org.apache.commons.math3.geometry.euclidean.twod.Line(cPoint, angle);<a name="line.229"></a>
<FONT color="green">230</FONT>                                edge = edge.split(l).getMinus();<a name="line.230"></a>
<FONT color="green">231</FONT>                            }<a name="line.231"></a>
<FONT color="green">232</FONT>    <a name="line.232"></a>
<FONT color="green">233</FONT>                            edges.add(edge);<a name="line.233"></a>
<FONT color="green">234</FONT>    <a name="line.234"></a>
<FONT color="green">235</FONT>                            previous   = current++;<a name="line.235"></a>
<FONT color="green">236</FONT>                            previous3D = current3D;<a name="line.236"></a>
<FONT color="green">237</FONT>                            pPoint     = cPoint;<a name="line.237"></a>
<FONT color="green">238</FONT>    <a name="line.238"></a>
<FONT color="green">239</FONT>                        }<a name="line.239"></a>
<FONT color="green">240</FONT>                    }<a name="line.240"></a>
<FONT color="green">241</FONT>                    final PolygonsSet projectedFacet = new PolygonsSet(edges);<a name="line.241"></a>
<FONT color="green">242</FONT>    <a name="line.242"></a>
<FONT color="green">243</FONT>                    // add the contribution of the facet to the global outline<a name="line.243"></a>
<FONT color="green">244</FONT>                    projected = (PolygonsSet) new RegionFactory&lt;Euclidean2D&gt;().union(projected, projectedFacet);<a name="line.244"></a>
<FONT color="green">245</FONT>    <a name="line.245"></a>
<FONT color="green">246</FONT>                }<a name="line.246"></a>
<FONT color="green">247</FONT>            }<a name="line.247"></a>
<FONT color="green">248</FONT>    <a name="line.248"></a>
<FONT color="green">249</FONT>            /** Get the projection of the polyhedrons set on the plane.<a name="line.249"></a>
<FONT color="green">250</FONT>             * @return projection of the polyhedrons set on the plane<a name="line.250"></a>
<FONT color="green">251</FONT>             */<a name="line.251"></a>
<FONT color="green">252</FONT>            public PolygonsSet getProjected() {<a name="line.252"></a>
<FONT color="green">253</FONT>                return projected;<a name="line.253"></a>
<FONT color="green">254</FONT>            }<a name="line.254"></a>
<FONT color="green">255</FONT>    <a name="line.255"></a>
<FONT color="green">256</FONT>        }<a name="line.256"></a>
<FONT color="green">257</FONT>    <a name="line.257"></a>
<FONT color="green">258</FONT>    }<a name="line.258"></a>




























































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